Geometric Transformations Quiz

Which of the following transformations is an example of a reflection?

• Rotating a figure 90 degrees

• Sliding a figure to the left

• Flipping a figure over the x-axis

• Enlarging a figure by a scale factor

What is the result of rotating a point (3, 4) 180 degrees about the origin?

• ((-3, -4))

• ((4, -3))

• ((3, -4))

• ((-4, 3))

If a triangle is translated 5 units right and 3 units down, what is the new position of point (A(2, 3))?

• ((7, 6))

• ((7, 0))

• ((3, 6))

• ((3, 0))

Which transformation does not change the size of a figure?

• Dilation

• Rotation

• Reflection

• Translation

A square is reflected over the y-axis. What happens to its coordinates?

• The x-coordinates become negative

• The y-coordinates become negative

• Both coordinates become negative

• The coordinates do not change

What is the scale factor of a dilation that reduces a figure to half its original size?

• 2

• 0.5

• 1

• 0

If a point (6, -2) is reflected over the line (y = x), what is the new coordinate?

• ((-6, 2))

• ((2, 6))

• ((-2, 6))

• ((6, 2))

Which transformation involves turning a figure around a fixed point?

• Reflection

• Rotation

• Translation

• Dilation

What happens to the coordinates of a point after a 90-degree clockwise rotation about the origin?

• ((x, y) \rightarrow (-y, x))

• ((x, y) \rightarrow (y, -x))

• ((x, y) \rightarrow (x, -y))

• ((x, y) \rightarrow (-x, y))

A rectangle is translated using the vector ((3, -4)). What is the new position of point (B(1, 2))?

• ((4, 6))

• ((4, -2))

• ((-2, 6))

• ((1, -2))